| Grade 6 |
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Standard 1.0 Knowledge of Algebra, Patterns, and Functions: Students will algebraically represent, model, analyze, or solve mathematical or real-world problems involving patterns or functional relationships.
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A. Patterns and Functions
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1. Identify, describe, extend, and create numeric patterns and functions
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a. Identify and describe sequences represented by a physical model or in a function table
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b. Interpret and write a rule for a one-operation (+, -, x, ÷ ) function table
Assessment limit:
- Use whole numbers or decimals with no more than two decimal places (0 – 10,000)
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c. Complete a function table with a given two-operation rule
Assessment limit:
- Use the operations of (+, -, x), numbers no more than 10 in the rule, and whole numbers (0 - 50)
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B. Expressions, Equations, and Inequalities
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1. Write and evaluate expressions
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a. Write an algebraic expression to represent unknown quantities
Assessment limit:
- Use one unknown and one operation (+, -) with whole numbers, fractions with denominators as factors of 24, or decimals with no more than two decimal places (0-200)
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b. Evaluate an algebraic expression
Assessment limit:
- Use one unknown and one operation (+, -) with whole numbers (0 – 200), fractions with denominators as factors of 24 (0 – 50), or decimals with no more than two decimal places (0 – 50)
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c. Evaluate numeric expressions using the order of operations
Assessment limit:
- Use no more than 4 operations (+, -, x, ÷ with no remainders) with or without 1 set of parentheses or a division bar and whole numbers (0-100)
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d. Represent algebraic expressions using physical models, manipulatives, and drawings
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2. Identify, write, solve, and apply equations and inequalities
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a. Identify and write equations and inequalities to represent relationships
Assessment limit:
- Use a variable, the appropriate relational symbols (>, <, =), and one operational symbol (+, -, ×, ÷) on either side and use fractions with denominators as factors of 24 (0 – 50) or decimals with no more than two decimal places (0 – 200)
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b. Determine the unknown in a linear equation
Assessment limit:
- Use one operation (+, -, ×, ÷ with no remainders) and use positive whole number coefficients using decimals with no more than two decimal places (0 – 100)
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c. Solve for the unknown in a one-step inequality
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d. Identify or graph solutions of a one-step inequality on a number line
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e. Apply given formulas to a problem solving situation
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C. Numeric and Graphic Representations of Relationships
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1. Locate points on a number line and in a coordinate plane
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a. Represent rational numbers on a number line
Assessment limit:
- Use integers (-20 to 20)
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b. Graph ordered pairs in a coordinate plane.
Assessment limit:
- Use no more than 3 ordered pairs of integers (-20 to 20) or no more than 3 ordered pairs of fractions/mixed numbers with denominators of 2 (-10 to 10)
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c. Graph linear data from a function table
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2. Analyze linear relationships
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a. Identify and describe the change represented in a graph
Assessment limit:
- Identify increase, decrease, or no change
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b. Translate the graph of a linear relationship onto a table of values that illustrates the type of change
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